3. (Интригующее заявление, что в итоге теорию гомотопий можно запрятать в обычные группоиды + категорию чумов)
It is perhaps instructive to mention how our theory describes homotopy types. These correspond to enhanced groupoids, that is, enhanced categories given by fibrations C→Pos+ whose fibers are groupoids. In a sense, the whole gadget exhibits a sort of an Eckmann-Hilton duality between the ideas of order (exemplified by partially ordered sets J ∈ Pos+) and symmetry (exemplified by the groupoids C_J). In another sense, it restores the original idea of “symmetries between symmetries”, but in different guise. There are no “higher groupoids”, there are just groupoids in the usual sense – but a whole bunch of them (just as a scheme can be thought of as a bunch of sets of its points over various affine schemes)
3. (Интригующее заявление, что в итоге теорию гомотопий можно запрятать в обычные группоиды + категорию чумов)
It is perhaps instructive to mention how our theory describes homotopy types. These correspond to enhanced groupoids, that is, enhanced categories given by fibrations C→Pos+ whose fibers are groupoids. In a sense, the whole gadget exhibits a sort of an Eckmann-Hilton duality between the ideas of order (exemplified by partially ordered sets J ∈ Pos+) and symmetry (exemplified by the groupoids C_J). In another sense, it restores the original idea of “symmetries between symmetries”, but in different guise. There are no “higher groupoids”, there are just groupoids in the usual sense – but a whole bunch of them (just as a scheme can be thought of as a bunch of sets of its points over various affine schemes)
BY сладко стянул
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Telegram users are able to send files of any type up to 2GB each and access them from any device, with no limit on cloud storage, which has made downloading files more popular on the platform. What distinguishes the app from competitors is its use of what's known as channels: Public or private feeds of photos and videos that can be set up by one person or an organization. The channels have become popular with on-the-ground journalists, aid workers and Ukrainian President Volodymyr Zelenskyy, who broadcasts on a Telegram channel. The channels can be followed by an unlimited number of people. Unlike Facebook, Twitter and other popular social networks, there is no advertising on Telegram and the flow of information is not driven by an algorithm. The perpetrators use various names to carry out the investment scams. They may also impersonate or clone licensed capital market intermediaries by using the names, logos, credentials, websites and other details of the legitimate entities to promote the illegal schemes. Markets continued to grapple with the economic and corporate earnings implications relating to the Russia-Ukraine conflict. “We have a ton of uncertainty right now,” said Stephanie Link, chief investment strategist and portfolio manager at Hightower Advisors. “We’re dealing with a war, we’re dealing with inflation. We don’t know what it means to earnings.” And while money initially moved into stocks in the morning, capital moved out of safe-haven assets. The price of the 10-year Treasury note fell Friday, sending its yield up to 2% from a March closing low of 1.73%.
from ms
